Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents new similarity solutions for fluid mechanics problems, including heat transfer of viscous fluids, boundary layer flow, flow in porous media, and nanofluids due to continuous moving surfaces. After discussing several examples of these problems, similarity solutions are derived and solved using the latest proven methods, including bvp4c from MATLAB, the Keller-box method, singularity methods, and more. Numerical solutions and asymptotic results for limiting cases are also discussed in detail to investigate how flow develops at the leading edge and its end behavior.
Detailed discussions of mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid will help readers from a range of disciplinary backgrounds in their research. Relevant background theory will also be provided, thus helping readers solidify their computational work with a better understanding of physical phenomena.
1. Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids - p. i 2. Cover - p. i 3. Title Page - p. iii 4. Copyright - p. viii 5. Table of Contents - p. viii 6. Preface - p. ix 7. Chapter 1 Basic equations and mathematical methods - p. 2 8. Chapter 2 Viscous fluids - p. 24 9. Chapter 3 Stretching/shrinking sheets near a stagnation-point flow in viscous fluids - p. 50 10. Chapter 4 Nanofluids - p. 88 11. Chapter 5 Stretching/shrinking sheets in nanofluids and hybrid nanofluids - p. 114 12. 5.1: Flow and heat transfer over an unsteady shrinking sheet with suction in a nanofluid using Buongiorno's model - p. 114 13. 5.2: Axisymmetric rotational stagnation-point flow impinging radially a permeable stretching/shrinking surface in a nanofluid - p. 118 14. 5.3: Flow and heat transfer over a permeable biaxial stretching/shrinking sheet in a nanofluid - p. 127 15. 5.4: Numerical solutions of nonalignment stagnation-point flow and heat transfer of a nanofluid over a stretching/shrinking surface in a nanofluid - p. 134 16. 5.5: Flow and heat transfer along a permeable stretching/shrinking curved surface in a hybrid nanofluid - p. 140 17. 5.6: MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition - p. 151 18. Nomenclature - p. 157 19. Greek letters - p. 158 20. Subscript - p. 158 21. Superscript - p. 159 22. Chapter 6 Mixed convection flow in porous medium - p. 164 23. Chapter 7 Convective flows with internal heat generation in porous media - p. 206 24. Chapter 8 Micropolar fluids over the moving surface - p. 226 25. Chapter 9 Jets - p. 256 26. Index - p. 277
Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids presents new similarity solutions for fluid mechanics problems, including heat transfer of viscous fluids, boundary layer flow, flow in porous media, and nanofluids due to continuous moving surfaces. After discussing several examples of these problems, similarity solutions are derived and solved using the latest proven methods, including bvp4c from MATLAB, the Keller-box method, singularity methods, and more. Numerical solutions and asymptotic results for limiting cases are also discussed in detail to investigate how flow develops at the leading edge and its end behavior.
Detailed discussions of mathematical models for boundary layer flow and heat transfer of micro-polar fluid and hybrid nanofluid will help readers from a range of disciplinary backgrounds in their research. Relevant background theory will also be provided, thus helping readers solidify their computational work with a better understanding of physical phenomena.
1. Similarity Solutions for the Boundary Layer Flow and Heat Transfer of Viscous Fluids, Nanofluids, Porous Media, and Micropolar Fluids - p. i 2. Cover - p. i 3. Title Page - p. iii 4. Copyright - p. viii 5. Table of Contents - p. viii 6. Preface - p. ix 7. Chapter 1 Basic equations and mathematical methods - p. 2 8. Chapter 2 Viscous fluids - p. 24 9. Chapter 3 Stretching/shrinking sheets near a stagnation-point flow in viscous fluids - p. 50 10. Chapter 4 Nanofluids - p. 88 11. Chapter 5 Stretching/shrinking sheets in nanofluids and hybrid nanofluids - p. 114 12. 5.1: Flow and heat transfer over an unsteady shrinking sheet with suction in a nanofluid using Buongiorno's model - p. 114 13. 5.2: Axisymmetric rotational stagnation-point flow impinging radially a permeable stretching/shrinking surface in a nanofluid - p. 118 14. 5.3: Flow and heat transfer over a permeable biaxial stretching/shrinking sheet in a nanofluid - p. 127 15. 5.4: Numerical solutions of nonalignment stagnation-point flow and heat transfer of a nanofluid over a stretching/shrinking surface in a nanofluid - p. 134 16. 5.5: Flow and heat transfer along a permeable stretching/shrinking curved surface in a hybrid nanofluid - p. 140 17. 5.6: MHD flow and heat transfer over a permeable stretching/shrinking sheet in a hybrid nanofluid with a convective boundary condition - p. 151 18. Nomenclature - p. 157 19. Greek letters - p. 158 20. Subscript - p. 158 21. Superscript - p. 159 22. Chapter 6 Mixed convection flow in porous medium - p. 164 23. Chapter 7 Convective flows with internal heat generation in porous media - p. 206 24. Chapter 8 Micropolar fluids over the moving surface - p. 226 25. Chapter 9 Jets - p. 256 26. Index - p. 277
